A farmer in Maharashtra has 30 hectares of land planted with sugarcane. If the yield per hectare is 60 tons and the cost of harvesting is ₹15,000 per hectare, what is the total profit if the sugarcane is sold for ₹40,000 per ton?

To calculate the total profit for the farmer in Maharashtra, we'll break the problem into steps. 

1. **Calculate the total yield of sugarcane in tons:**
   \[
   \text{Total yield} = \text{Area of land} \times \text{Yield per hectare}
   \]
   Given:
   - Area of land = 30 hectares
   - Yield per hectare = 60 tons

   \[
   \text{Total yield} = 30 \times 60 = 1800 \text{ tons}
   \]

2. **Calculate the total revenue from selling the sugarcane:**
   \[
   \text{Total revenue} = \text{Total yield} \times \text{Selling price per ton}
   \]
   Given:
   - Selling price per ton = ₹40,000

   \[
   \text{Total revenue} = 1800 \times 40,000 = ₹72,000,000
   \]

3. **Calculate the total cost of harvesting:**
   \[
   \text{Total cost} = \text{Area of land} \times \text{Cost per hectare}
   \]
   Given:
   - Cost of harvesting per hectare = ₹15,000

   \[
   \text{Total cost} = 30 \times 15,000 = ₹450,000
   \]

4. **Calculate the total profit:**
   \[
   \text{Total profit} = \text{Total revenue} - \text{Total cost}
   \]
   \[
   \text{Total profit} = ₹72,000,000 - ₹450,000 = ₹71,550,000
   \]

### The total profit for the farmer is ₹71,550,000.

Would you like further details or have any questions?

Here are some related questions to deepen your understanding:

1. How would the profit change if the yield per hectare increased by 10%?
2. What would be the total profit if the selling price per ton dropped to ₹35,000?
3. How would the total cost be affected if the cost of harvesting per hectare increased by ₹5,000?
4. What would be the break-even selling price per ton to cover the total cost of harvesting?
5. If the farmer wanted to plant an additional 10 hectares, how would this affect the profit?

**Tip:** Always account for both revenue and costs to accurately assess profit.

Learn how to calculate the total profit for a sugarcane farmer in Maharashtra. This problem involves arithmetic calculations for area, revenue, cost, and profit. Explore the detailed step-by-step solution including specific data points such as yield per hectare, selling price, and harvesting cost.

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